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An electrical firm manufactures a certain type of light bulb that has a mean life of 1800 hours and a standard deviation of 200 hours. Assume the life of these light bulbs follows a normal distribution.
a. Find the probability that a single light bulb will have a life greater than 2000 hours.
b. Find the probability that a random sample of 100 light bulbs will have an average life between 1760 and 1775 hours.
Airlines monitor the causes of flights arriving late. 75% of flights are late because of weather, 35% of flights are late because of ground operations. 10% of flights are late because of weather and ground operations.
You have two unbiased estimates, e 1 and e 2 , of a quantity with variances V 1 and V 2 respectively, and covariance Cov {e1,e 2 } = C. Form a new unbiased estimate:
The length of a Colorado brook trout is normally distributed. What is the probability that a brook trout's length:
Assume that you plan to use a significance level of = 0.05 to test the claim that P1 = P2. Use the given sample sizes and numbers of successes to find the z test statistic for the hypothesis test.
Which promises the profit of $24,000 with the probability of .7 or a loss (due to bad weather, strikes, and such) of $8000 with the probability of .3. Determine the expected profit?
An auditor for Health Maintenance Services of Georgia reports 40% of policyholders 55 years of older submit a claim during the year. Fifteen policyholders are randomly selected for company records. How many of the policyholders would you expect to ha..
A regression line for a certain set of data is found to be y = 14 + 9x. The mean of y , or y bar, is 27. A particular data point is (2,40). What is the total variation in this point?
It took a contractor 5000 hours to manufacture their first unit of an item. If the contractor expects to achieve a 94% unit learning curve, how many hours would be required to manufacture units 76-100?
No information is available about its value. How large a sample size is needed to estimate it to within 0.15 with 99% confidence?
Linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level alpha. n = 11, Alpha = 0.01
The distribution of box weights is normally distributed with a mean of 9 ounces and a variance of 0.01 ounces. What is the probability of randomly selecting a box containing less than 8.9 ounces?
In a high school graduating class of 100 students, 42 studied math, 68 studied psychology, 54 studied history, 22 studied both math and psychology, 7 studied history and neither math nor pyschology, 10 studied all three and 8 did not take any of t..
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